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Issue:Some algebraic properties of the matrix representation of intuitionistic fuzzy modal operators: Difference between revisions
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| conference = | | conference = 19th [[International Conference on Intuitionistic Fuzzy Sets]], 4–6 June 2015, Burgas, Bulgaria | ||
| issue = [[Notes on Intuitionistic Fuzzy Sets/ | | issue = [[Notes on Intuitionistic Fuzzy Sets/21/2|"Notes on Intuitionistic Fuzzy Sets", Volume 21, 2015, Number 2]], pages 6—18 | ||
| file = NIFS-21-2-006-018.pdf | | file = NIFS-21-2-006-018.pdf | ||
| format = PDF | | format = PDF | ||
| size = | | size = 187 | ||
| abstract = Intuitionistic fuzzy sets were introduced by Atanassov in 1983 [1]. He defined Intuitionistic Fuzzy Modal Operators on IFSs. Intuitionistic fuzzy modal operators were separated in three types called one-two-uni type modal operators on Intuitionistic Fuzzy Sets with the help of some authors’ studies [3, 5]. A study named Matrix Representation of the Second Type of Intuitionistic Fuzzy Modal Operators introduced in [4]. In this study, our purpose is to examine some new algebraic properties of matrix representation sets of Intuitionistic Fuzzy Modal Operators which is a monoid with the matrix product and give the concept of generator in this algebraic structure. | | abstract = Intuitionistic fuzzy sets were introduced by Atanassov in 1983 [1]. He defined Intuitionistic Fuzzy Modal Operators on IFSs. Intuitionistic fuzzy modal operators were separated in three types called one-two-uni type modal operators on Intuitionistic Fuzzy Sets with the help of some authors’ studies [3, 5]. A study named Matrix Representation of the Second Type of Intuitionistic Fuzzy Modal Operators introduced in [4]. In this study, our purpose is to examine some new algebraic properties of matrix representation sets of Intuitionistic Fuzzy Modal Operators which is a monoid with the matrix product and give the concept of generator in this algebraic structure. | ||
| keywords = Intuitionisic fuzzy sets, Intuitionistic fuzzy modal operators, Matrix representation of IFMOs on IFSs, Algebraic properties of matrix representation of IFMOs on IFSs. | | keywords = Intuitionisic fuzzy sets, Intuitionistic fuzzy modal operators, Matrix representation of IFMOs on IFSs, Algebraic properties of matrix representation of IFMOs on IFSs. | ||
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# Atanassov, K., Intuitionistic Fuzzy Sets, Springer, Heidelberg, 1999. | # Atanassov, K., Intuitionistic Fuzzy Sets, Springer, Heidelberg, 1999. | ||
# Çuvalcioğlu, G., On the Diagram of One Type Modal Operatorss on Intuitionistic Fuzzy Sets: Last Expanding with <math>Z^{\omega,\theta}_{\alpha,\beta} </math> , Iranian J. of Fuzzy Systems, 10(1), 2013, 89–106. | # Çuvalcioğlu, G., On the Diagram of One Type Modal Operatorss on Intuitionistic Fuzzy Sets: Last Expanding with <math>Z^{\omega,\theta}_{\alpha,\beta} </math> , Iranian J. of Fuzzy Systems, 10(1), 2013, 89–106. | ||
# Çuvalcıoğlu, G., S. Yılmaz and K. Atanassov. Matrix representation of the second type of intuitionistic fuzzy modal operators, Notes on Intuitionistic Fuzzy Sets, 20(5), | # Çuvalcıoğlu, G., S. Yılmaz and K. Atanassov. Matrix representation of the second type of intuitionistic fuzzy modal operators, Notes on Intuitionistic Fuzzy Sets, 20(5), 2014, 9–16. | ||
# Dencheva K. Extension of intuitionistic fuzzy modal operators ⊞ and ⊠. Proceedings of the Second Int. IEEE Symposium: Intelligent Systems, Varna, June 22-24, 2004, Vol. 3, 21-22. | # Dencheva K. Extension of intuitionistic fuzzy modal operators ⊞ and ⊠. Proceedings of the Second Int. IEEE Symposium: Intelligent Systems, Varna, June 22-24, 2004, Vol. 3, 21-22. | ||
# Hungerford, T. W. Algebra, Springer-Verlag NY Inc, 1974 | # Hungerford, T. W. Algebra, Springer-Verlag NY Inc, 1974 | ||
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| see-also = | | see-also = | ||
}} | }} | ||
[[Category:Publications of Sinem Tarsuslu (Yılmaz)]] |
Latest revision as of 11:13, 29 August 2024
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